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The number 67667

67667 is a composite number with 4 divisors. Its prime factorisation is 157 × 431. Divisors (4): 1, 157, 431, 67667.

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How to work it out

  1. 1

    What is special about 67667: a semiprime: 157 × 431, the product of two primes.

  2. 2

    67667 is composite. Its prime factorisation is

    67667=157×43167667 = 157 \times 431
  3. 3

    The divisors add up to 68256; without 67667 itself that is 589, so 67667 is deficient (589 is less than 67667). Euler's totient φ(67667) = 67080 numbers up to 67667 share no factor with it.

  4. 4

    The digits of 67667 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67667 = 157 \times 431 \]

67667 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors68256
Euler totient φ(n)67080
Square4578822889
Cube309835208429963
Square root260.128814
Digit sum / digital root32 / 5
Collatz steps to 168
Scientific notation6.7667 × 10410^{4}

67667 in other forms

FormValue
In wordssixty-seven thousand six hundred and sixty-seven
Binary (base 2)10000100001010011
Octal (base 8)204123
Hexadecimal (base 16)10853
Base 310102211012
As time67667 seconds = 18 h 47 min 47 s

Is 67667 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67667 a prime number?

No. 67667 = 157 × 431, so it is divisible by 157.

What are the factors of 67667?

1, 157, 431, 67667.

What is 67667 in binary?

10000100001010011 (hexadecimal 10853, octal 204123).

What is the square root of 67667?

About 260.1288.

Is 67667 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 67667?

67667 is a semiprime: 157 × 431, the product of two primes.

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